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JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The sum of all the real values of \(x\) satisfying the equation \({2^{\left( {x - 1} \right)\left( {{x^2} + 5x - 50} \right)}} = 1\) is
- A \(16\)
- B \(14\)
- C \(-4\)
- D \(-5\)
Answer & Solution
Correct Answer
(C) \(-4\)
Step-by-step Solution
Detailed explanation
\((x - l)(x^2 +5x -50)\, =0\) \( \Rightarrow \) \((x - l)(x + 10) (x -5)\,=0\) \( \Rightarrow \) \(x\, = 1, 5, -10\) sum \(= -4\)
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